Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

Infinitely many solutions for a Dirichlet problem involving the p-Laplacian

Gabriele Bonannoa1 and Giovanni Molica Biscia2

a1 Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, 98166 Messina, Italy (

a2 PAU Department, Architecture Faculty, University of Reggio Calabria, 89100 Reggio Calabria, Italy (


The existence of infinitely many solutions for an autonomous elliptic Dirichlet problem involving the p-Laplacian is investigated. The approach is based on variational methods.

(Received May 11 2009)

(Accepted October 12 2009)